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satela [25.4K]
2 years ago
15

What is the slope intercept equation of the line below

Mathematics
1 answer:
shtirl [24]2 years ago
6 0

Answer:

y = 2x - 3

Step-by-step explanation:

Step 1: Remember the equation

The slope intercept form is y = mx + b where m is the slope and b is the y-intercept

Step 2: Solve

We can see the y-intercept(where the line crosses the y axis) is at y = -3

We know slope is \frac{rise}{run} so we can see for every 1 square it moves right it moves 2 up so the slope would be \frac{2}{1}or 2

Plug what we know into the equation

y=2x-3

Step 3: Therefore Statement

Therefore the equation of the line shown below is y = 2x - 3

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Find the value of the constant m √150 - √12m + √54 = 0​
Tomtit [17]

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>√</u><u>2</u>

Step-by-step explanation:

{ \tt{ \sqrt{150}  -  \sqrt{12}m +  \sqrt{54}  = 0 }} \\ { \tt{ \sqrt{12}m } =  \sqrt{150}  -  \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6}  - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6}   - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3}  m =  \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times  \sqrt{2} ) }} \\ { \tt{m =  \sqrt{2} }}

7 0
3 years ago
The height 'h' (in feet) of a ball in a baseball game can be modeled by h = -16t² + 28t + 8 , where 't' is the time (in seconds)
lidiya [134]

Answer:

  a)  No. t < 0 is not part of the useful domain of the function

  b) 2.0 seconds

Step-by-step explanation:

a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.

__

b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.

  h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0

  0 = -4(4t² -7t -2) = -4(4t +1)(t -2)

This has t-intercepts where the factors are zero, at t=-1/4 and t=2.

The ball will hit the ground after 2 seconds.

4 0
3 years ago
5x6-1+3=28 brackets or braces should be added
Artyom0805 [142]
5 · (6 - 1) + 3
= 5·5 + 3
= 25 + 3
= 28
7 0
3 years ago
NEED HELP FAST!!
Dafna11 [192]

Answer:

see below

Step-by-step explanation:

dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3

so for center (4,-2)

distance of (7,4) is 3 n 6 to center

1/3 of distance = 1 n 2

so (7,4) become (4+1, -2+2) = (5, 0) after the dilation


similarly u can find the other 2 pts

distance of (-2,4) is -6 n 6 to center

1/3 of distance = -2 n 2

so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation


distance of (1, 10) is -3 n 12 to center

1/3 of distance = -1 n 4

so (1,10) become (4-1, -2+4) = (3, 2) after the dilation


plot the new triangle using the 3 pts

8 0
3 years ago
PLEASE HELP ILL GIVE FREE POINTS PLUS BRAINLIEST
Alinara [238K]
It’s c you add the exponents
4 0
3 years ago
Read 2 more answers
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